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Finding the Fourth Proportional to 2,313.56, 3,470.80 and 1,015.03

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Solution

The fourth proportional to 2,313.56, 3,470.80 and 1,015.03 is: 1,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.56 : 3,470.80 = 1,015.03 : x
  2. Step 2: Convert to fraction form
    2,313.56/3,470.80 = 1,015.03/x
  3. Step 3: Cross multiply
    2,313.56x = 3,470.80 × 1,015.03
  4. Step 4: Simplify right side
    2,313.56x = 3,522,969.83
  5. Step 5: Solve for x
    x = 3,522,969.83/2,313.56
  6. Step 6: Final answer
    x = 1,522.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.